4 papers
When Do Subset Sums in Finite Abelian Groups Support -Designs?
Hengfeng Liu, Chunming Tang, Cuiling Fan +1
Subset sums over finite abelian groups lie at the intersection of additive combinatorics, design theory, and coding theory. Let be a finite abelian group, and let $\cB_k^x$ be…
Rank Distribution and Dynamics of Gram Matrices from Binary m-Sequences with Applications to LCD Codes
Hengfeng Liu, Chunming Tang, Cuiling Fan +1
The Gram matrix is a classical object formed from the pairwise inner products of a collection of vectors, with fundamental roles in functional analysis, statistics, combinatorics,…
The Asymmetric Hamming Bidistance and Distributions over Binary Asymmetric Channels
Shukai Wang, Cuiling Fan, Chunming Tang +1
The binary asymmetric channel is a model for practical communication systems where the error probabilities for symbol transitions and differ substa…
A Generic Construction of -ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond
Hengfeng Liu, Chunming Tang, Zhengchun Zhou +2
A linear code with parameters is called maximum distance separable (MDS), and one with parameters is called almost MDS (AMDS). A code is near-MD…